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142986000465 = 3557114633301
BaseRepresentation
bin1000010100101010100…
…0010011100001010001
3111200001221101102100000
42011022220103201101
54320313404003330
6145404210120213
713221216644010
oct2051250234121
9450057342300
10142986000465
1155704962520
1223865880069
13106393b4389
146cc602ca77
153abce4c560
hex214aa13851

142986000465 has 192 divisors, whose sum is σ = 321232084992. Its totient is φ = 59276448000.

The previous prime is 142986000461. The next prime is 142986000473. The reversal of 142986000465 is 564000689241.

142986000465 is a `hidden beast` number, since 1 + 42 + 98 + 60 + 0 + 0 + 465 = 666.

It is not a de Polignac number, because 142986000465 - 22 = 142986000461 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 142986000465.

It is not an unprimeable number, because it can be changed into a prime (142986000461) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43314315 + ... + 43317615.

It is an arithmetic number, because the mean of its divisors is an integer number (1673083776).

Almost surely, 2142986000465 is an apocalyptic number.

142986000465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142986000465 is an abundant number, since it is smaller than the sum of its proper divisors (178246084527).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142986000465 is a wasteful number, since it uses less digits than its factorization.

142986000465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 142986000465 in words is "one hundred forty-two billion, nine hundred eighty-six million, four hundred sixty-five", and thus it is an aban number.